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Soliton dynamics in optical fiber based on nonlinear Schrödinger equation
Harish Abdillah Mardi1, Nasaruddin Nasaruddin2, Muhammad Ikhwan3
1Mathematics Graduate Program, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia.
Optical fiber energy loss is analyzed using the Nonlinear Schrödinger equation (NLS). High attenuation parameters significantly decrease signal strength, necessitating careful material selection for sustainable internet infrastructure.
Area of Science:
- Physics
- Telecommunications Engineering
- Materials Science
Background:
- Optical fiber is crucial for green and sustainable internet infrastructure.
- Understanding energy loss during optical fiber propagation is essential for optimizing performance.
- Electromagnetic wave attenuation significantly impacts signal integrity in optical fibers.
Purpose of the Study:
- To analyze energy loss in optical fibers due to wave attenuation.
- To investigate the influence of various parameters on signal dynamics.
- To identify optimal conditions for optical fiber material selection.
Main Methods:
- Utilized the Nonlinear Schrödinger equation (NLS) to model wave dynamics.
- Employed the Newton-Raphson (NR) approach for stationary solutions.
- Applied the fourth-order Runge-Kutta (RK4) method for dynamic evaluation.
- Adjusted parameters: group velocity dispersion, nonlinearity, attenuation, and potential trap.
Main Results:
- The Newton-Raphson approach yielded solutions close to analytical ones.
- NLS equation dynamics are highly sensitive to parameter variations.
- Increased attenuation parameters rapidly reduce electromagnetic wave strength.
- Optimal conditions for attenuation and potential trap parameters were identified.
Conclusions:
- High attenuation significantly degrades signal strength in optical fibers.
- Careful selection of optical fiber materials with low attenuation and dispersion is critical.
- Maintaining optimal parameter conditions is necessary for robust signal propagation.
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